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+* The vertices of a self-dual 4-dim regular polytope
+* with 24 octahedron facets.
+* We use hull option to compute all (24) facet inequalities.
+V-representation
+begin
+ 24 5 integer
+ 1 1 1 1 1
+ 1 1 1 1 -1
+ 1 1 1 -1 1
+ 1 1 1 -1 -1
+ 1 1 -1 1 1
+ 1 1 -1 1 -1
+ 1 1 -1 -1 1
+ 1 1 -1 -1 -1
+ 1 -1 1 1 1
+ 1 -1 1 1 -1
+ 1 -1 1 -1 1
+ 1 -1 1 -1 -1
+ 1 -1 -1 1 1
+ 1 -1 -1 1 -1
+ 1 -1 -1 -1 1
+ 1 -1 -1 -1 -1
+ 1 2 0 0 0
+ 1 0 2 0 0
+ 1 0 0 2 0
+ 1 0 0 0 2
+ 1 -2 0 0 0
+ 1 0 -2 0 0
+ 1 0 0 -2 0
+ 1 0 0 0 -2
+end